SOLUTION: Find the LCM. 35b^8c^2, 7b^4c^8, 15b^9c^2

Question 127293: Find the LCM.
35b^8c^2, 7b^4c^8, 15b^9c^2
Found 2 solutions by checkley71, jim_thompson5910:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
35=5*7
7=1*7
15=3*5
THUS THE LCM HERE IS:1*3*5*7=105
105B^9C^8 IS THE LCM.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Factor to get 5*7*b*b*b*b*b*b*b*b*c*c
Factor to get 7*b*b*b*b*c*c*c*c*c*c*c*c
Factor to get 3*5*b*b*b*b*b*b*b*b*b*c*c

Now highlight the unique terms. Remember, highlight the most frequent terms

5*7*b*b*b*b*b*b*b*b*c*c

7*b*b*b*b*c*c*c*c*c*c*c*c

3*5*b*b*b*b*b*b*b*b*b*c*c

Now multiply all of the highlighted terms:

3*5*7*b*b*b*b*b*b*b*b*b*c*c*c*c*c*c*c*c

Multiply and simplify

105b^9c^8

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Answer:

So the lcm of 35b^8c^2, 7b^4c^8, and 15b^9c^2 is

105b^9c^8

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